Question
Download Solution PDFयदि 3 आयामों में एक रेखा निर्देशक अक्षों की धनात्मक दिशाओं के साथ α, β और γ कोण बनाती है, तो किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
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हम जानते हैं कि \( \cos^{2} \alpha + \cos^{2} \beta + \cos^{2} \gamma = 1 \) ... (i)
और \( \cos(\alpha + \beta) \cdot \cos(\alpha - \beta) = \cos^{2} \alpha - \sin^{2} \beta \)
प्रतिस्थापित करने और सरल करने पर:
\( = \cos^{2} \alpha + \cos^{2} \beta - 1 = 1 - \cos^{2} \gamma \quad \Rightarrow \quad - \cos^{2} \gamma \)
इसलिए, सही उत्तर विकल्प 2 है।
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